Kai Zhao

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stability of solutions to contact Hamilton-Jacobi equation on the circle	2024	Yang Xu Jun Yan Kai Zhao
+ PDF Chat	Stability of Solutions to Contact Hamilton-Jacobi Equation on the Circle	2024	Yang Xu Jun Yan Kai Zhao
+	Stability and weak KAM solutions of contact Hamilton-Jacobi equation	2023	Yang Xu Jun Yan Kai Zhao
+	Time periodic solutions of Hamilton-Jacobi equations with autonomous Hamiltonian on the circle	2023	Kaizhi Wang Jun Yan Kai Zhao
+	Time periodic and almost periodic viscosity solutions of contact Hamilton-Jacobi equations on $\mathbb{T}^n$	2023	Kaizhi Wang Jun Yan Kai Zhao
+ PDF Chat	Viscosity subsolutions of Hamilton–Jacobi equations and invariant sets of contact Hamilton systems	2022	Xiang Shu Jun Yan Kai Zhao
+ PDF Chat	Global propagation of singularities for discounted Hamilton-Jacobi equations	2021	Chen Cui Jiahui Hong Kai Zhao
+	Finite-time convergence of solutions of Hamilton-Jacobi equations	2021	Kaizhi Wang Jun Yan Kai Zhao
+	Viscosity subsoltions of Hamilton-Jacobi equations and Invariant sets of contact Hamilton systems	2021	Xiang Shu Jun Yan Kai Zhao
+ PDF Chat	Representation Formulas for Contact Type Hamilton-Jacobi Equations	2021	Jiahui Hong Wei Cheng Shengqing Hu Kai Zhao
+	Finite-time convergence of solutions of Hamilton-Jacobi equations	2021	Kaizhi Wang Jun Yan Kai Zhao
+	Multi-objective Herglotz' variational principle and cooperative Hamilton-Jacobi systems	2021	Wei Cheng Kai Zhao Min Zhou
+	Global propagation of singularities for discounted Hamilton-Jacobi equations	2021	Chen Cui Jiahui Hong Kai Zhao
+	Smooth subsolutions of the discounted Hamilton-Jacobi equations	2020	Liang Jin Jianlu Zhang Kai Zhao
+	Variational attraction of the KAM torus for the conformally symplectic system	2020	Liang Jin Jianlu Zhang Kai Zhao
+ PDF Chat	Vanishing contact structure problem and convergence of the viscosity solutions	2019	Qinbo Chen Wei Cheng Hitoshi Ishii Kai Zhao
+	Representation formulas for contact type Hamilton-Jacobi equations	2019	Jiahui Hong Wei Cheng Shengqing Hu Kai Zhao
+ PDF Chat	On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem	2019	Kai Zhao Wei Cheng
+	On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem	2018	Kai Zhao Wei Cheng
+	Another sectionalization of linear tail-biting trellis	2010	Kai Zhao Chen Yuan

Common Coauthors

Coauthor	Papers Together
Jun Yan	6
Wei Cheng	6
Jiahui Hong	4
Kaizhi Wang	4
Yang Xu	3
Xiang Shu	2
Chen Cui	2
Liang Jin	2
Shengqing Hu	2
Jun Yan	2
Jianlu Zhang	2
Jun Yan	1
Chen Yuan	1
Hitoshi Ishii	1
Min Zhou	1
Qinbo Chen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Variational principle for contact Hamiltonian systems and its applications	2018	Kaizhi Wang Lin Wang Jun Yan	10
+	Aubry–Mather Theory for Contact Hamiltonian Systems	2019	Kaizhi Wang Lin Wang Jun Yan	9
+	Herglotz' variational principle and Lax-Oleinik evolution	2020	Piermarco Cannarsa Wei Cheng Liang Jin Kaizhi Wang Jun Yan	9
+ PDF Chat	Herglotz’ Generalized Variational Principle and Contact Type Hamilton-Jacobi Equations	2019	Piermarco Cannarsa Wei Cheng Kaizhi Wang Jun Yan	8
+	Lasry–Lions approximations for discounted Hamilton–Jacobi equations	2018	Chen Cui Wei Cheng Qi Zhang	6
+ PDF Chat	Generalized characteristics and Lax–Oleinik operators: global theory	2017	Piermarco Cannarsa Wei Cheng	6
+ PDF Chat	Convergence of the solutions of the discounted Hamilton–Jacobi equation	2016	Andrea Davini Albert Fathi Renato Iturriaga Maxime Zavidovique	6
+ PDF Chat	Aubry–Mather Theory for Conformally Symplectic Systems	2017	Stefano Maró Alfonso Sorrentino	5
+ PDF Chat	Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions	2021	Kaizhi Wang Lin Wang Jun Yan	5
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	4
+	Generic properties and problems of minimizing measures of Lagrangian systems	1996	Ricardo Mañé	4
+	Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set	2012	Albert Fathi	4
+	On the topology of the set of singularities of a solution to the Hamilton–Jacobi equation	2016	Piermarco Cannarsa Wei Cheng Albert Fathi	4
+ PDF Chat	Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation	2004	Albert Fathi Antonio Siconolfi	3
+ PDF Chat	Action minimizing invariant measures for positive definite Lagrangian systems	1991	John N. Mather	3
+	Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry.	2019	Piermarco Cannarsa Wei Cheng Albert Fathi	3
+ PDF Chat	Global Generalized Characteristics for the Dirichlet Problem for Hamilton--Jacobi Equations at a Supercritical Energy Level	2019	Piermarco Cannarsa Wei Cheng Marco Mazzola Kaizhi Wang	3
+ PDF Chat	On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem	2019	Kai Zhao Wei Cheng	3
+	Perron’s method for Hamilton-Jacobi equations	1987	Hitoshi Ishii	3
+	PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians	2004	Albert Fathi Antonio Siconolfi	3
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	3
+ PDF Chat	Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry	2009	Marco Castelpietra Ludovic Rifford	2
+ PDF Chat	Singularities of Solutions of Hamilton–Jacobi Equations	2021	Piermarco Cannarsa Wei Cheng	2
+ PDF Chat	Viscosity Solutions of Hamilton-Jacobi Equations	1983	Michael G. Crandall Pierre‐Louis Lions	2
+ PDF Chat	Local singular characteristics on $$\mathbb {R}^2$$	2021	Piermarco Cannarsa Wei Cheng	2
+ PDF Chat	Some properties of viscosity solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall L. C. Evans Pierre‐Louis Lions	2
+ PDF Chat	On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations	2015	Konstantin Khanin Andreĭ Sobolevskiĭ	2
+ PDF Chat	Local strict singular characteristics: Cauchy problem with smooth initial data	2022	Wei Cheng Jiahui Hong	2
+ PDF Chat	Hamilton--Jacobi Equations and Distance Functions on Riemannian Manifolds	2002	Carlo Mantegazza Andrea Mennucci	2
+ PDF Chat	Vanishing contact structure problem and convergence of the viscosity solutions	2019	Qinbo Chen Wei Cheng Hitoshi Ishii Kai Zhao	2
+	Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens	1997	Albert Fathi	2
+ PDF Chat	A simple proof of the propagation of singularities for solutions of Hamilton-Jacobi equations	2009	Yifeng Yu	2
+	Global propagation of singularities for time dependent Hamilton-Jacobi equations	2015	Piermarco Cannarsa Marco Mazzola Carlo Sinestrari	2
+ PDF Chat	Weak kam theorem on non compact manifolds	2007	Albert Fathi Ezequiel Maderna	2
+	A KAM theory for conformally symplectic systems: Efficient algorithms and their validation	2013	Renato Calleja Alessandra Celletti Rafael de la Llave	2
+	Representation of solutions of Hamilton-Jacobi equations	1988	Hitoshi Ishii	2
+	On and beyond propagation of singularities of viscosity solutions	2018	Piermarco Cannarsa Wei Cheng	2
+	An Introduction to Analysis	1994	Arlen Brown Carl Pearcy	2
+ PDF Chat	The vanishing discount problem and viscosity Mather measures. Part 1: The problem on a torus	2016	Hitoshi Ishii Hiroyoshi Mitake Hung V. Tran	2
+ PDF Chat	Propriétés des attracteurs de Birkhoff	1988	Patrice Le Calvez	2
+ PDF Chat	Faithful Representations for Convex Hamilton--Jacobi Equations	2005	Franco Rampazzo	2
+	Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints	2008	Hiroyoshi Mitake	2
+	Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians	2007	Hitoshi Ishii Hiroyoshi Mitake	2
+	The vanishing discount problem and viscosity Mather measures. Part 2: Boundary value problems	2016	Hitoshi Ishii Hiroyoshi Mitake Hung V. Tran	2
+ PDF Chat	Regularity properties of solutions to the basic problem in the calculus of variations	1985	Francis Clarke Richard Vinter	2
+ PDF Chat	Weak KAM theory for HAMILTON-JACOBI equations depending on unknown functions	2016	Jun Yan Lin Wang Xifeng Su	2
+	Propagation of singularities along broken characteristics	2013	Thomas Strömberg	2
+	Solutions KAM faibles conjuguées et barrières de Peierls	1997	Albert Fathi	2
+	Propagation of Singularities¶for Solutions of Nonlinear First Order¶Partial Differential Equations	2002	Paolo G. Albano Piermarco Cannarsa	2
+	Weak KAM aspects of convex Hamilton–Jacobi equations with Neumann type boundary conditions	2010	Hitoshi Ishii	1